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1 year ago

45. You decide to market your own custom computer software. You must invest $3,255 for

Mathematics

1 answer:

PSYCHO15rus [73]1 year ago

6 0

Your question was solved by a verified tutor on Brainly. Hope this helps!

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Pyramid A is a square pyramid with a base side length of 12 inches and a height of 8 inches. Pyramid B is a square pyramid with

yan [13]

Answer:

The volume of pyramid B is 64 times the volume of pyramid A.

Step-by-step explanation:

Given:

Two square pyramids A and B.

Side Length of A, $s_A =$ 12 inches

Height of A, $h_A =$ 8 inches

Side Length of B, $s_B =$ 48 inches

Height of B, $h_B =$ 32 inches

To find:

How many times bigger is the volume of pyramid B than pyramid A?

$V_B$ is how many times bigger than $V_A$ ?

Solution:

First of all, let us have a look at the formula for volume of a pyramid:

$V=\dfrac{1}{3} \times \text{Area of Base} \times \text{Height}$

Here, base is square, so:

$V=\dfrac{1}{3} \times s^2 \times h$

Volume of pyramid A:

$V_A=\dfrac{1}{3} \times s_A^2 \times h_A$

$\Rightarrow V_A=\dfrac{1}{3} \times 12^2 \times 8 = 384\ inch^3$

Volume of pyramid B:

$V_B=\dfrac{1}{3} \times s_B^2 \times h_B$

$\Rightarrow V_B=\dfrac{1}{3} \times 48^2 \times 32 \\\Rightarrow V_B=\dfrac{1}{3} \times 12^2 \times 8 \times 4^2 \times 4\\\Rightarrow V_B=\dfrac{1}{3} \times 12^2 \times 8 \times 64\\\Rightarrow V_B= 24576\ inch^3 = 384\times 64\ inch^3\\\Rightarrow V_B = V_A\times 64\ inch^3$

The volume of pyramid B is 64 times the volume of pyramid A.

3 0

2 years ago

The scale of a map (in centimeters) says that 4cm represents 5km.

Firlakuza [10]

Answer:

16/5 or 3.2

Step-by-step explanation:

4cm/5km = x/4km

Cross multiply to find answer

5 0

2 years ago

Mr. Millar's garden is in the shape of a trapezoid shown below. What is the area of the garden?

soldi70 [24.7K]

Answer:

12.5 unit square

Step-by-step explanation:

The area of a trapezoid is calculated with the following formula:

(b1 + b2)*h/2 (b1: base, b2: base, h: height)

(4+6)*(2.5)*2 = 12.5

5 0

1 year ago

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary) 3, 1, 1/3, Find the 7th term

Y_Kistochka [10]

Answer:

The answer is 0.527

Step-by-step explanation:

I hope this helps, if it doesn't then just message me and ill be more than happy to help :)

6 0

1 year ago

Read 2 more answers

The larger of two numbers is 10 less than twice the smaller number. If the sum of the two

natka813 [3]

Answer:

Let the larger number = y and the smaller number = x.

The largest number is 10 less than twice the smaller number. Remember that less than means subtract the 10 from the other amount while twice means multiply by two. Therefore,

y = 2x - 10

The sum of the two numbers is 38. Remember sum means add the two numbers to get their result. Therefore,

x + y = 38

Since y = 2x - 10, we rewrite the lower equation as:

x + (2x - 10) = 38

Solving:

3x - 10 = 38

3x = 48

x = 16

The lesser number is 16 and the greater number is 2(16) - 10 or 22.

7 0

2 years ago